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Gluon transverse-momentum dependent distributions (TMDs) are very important for revealing the internal structure of the proton. They correspond to a variety of experiments and are among the major tasks of the future electron-ion colliders.…

High Energy Physics - Phenomenology · Physics 2024-03-12 Hongyao Yu , Zhi Hu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

The transverse-momentum-dependent distributions (TMDs), which are defined by gauge-invariant 3D parton correlators with staple-shaped lightlike Wilson lines, can be calculated from quark and gluon correlators fixed in the Coulomb gauge on a…

High Energy Physics - Phenomenology · Physics 2024-12-04 Yong Zhao

Transverse-momentum-dependent parton distributions (TMDs) can be calculated from first principles by computing a related set of Euclidean lattice observables and connecting them via a factorization formula. This work focuses on the…

High Energy Physics - Phenomenology · Physics 2022-09-19 Stella T. Schindler , Iain W. Stewart , Yong Zhao

On the basis of the results of a new renormalisation group improved small-x resummation scheme, we argue that the range of validity of perturbative calculations is considerably extended in rapidity with respect to leading log expectations.…

High Energy Physics - Phenomenology · Physics 2011-07-19 M. Ciafaloni , D. Colferai , G. P. Salam , A. M. Stasto

We calculate the Sudakov-limited maximum phase-space density associated with the linearly polarized gluon TMD coefficient $h_1^{\perp g}$ in the saturation region. Using Mueller's occupancy argument together with the small-$x$…

High Energy Physics - Phenomenology · Physics 2026-05-28 Lei Wang

We investigate the transverse momentum dependent (TMD) quark and gluon distribution functions in the modified chiral quark model ($\chi QM$). Calculations of the TMD quark and gluon densities, using the modified $\chi QM$ are done for the…

High Energy Physics - Phenomenology · Physics 2014-06-30 H. Nematollahi , M. M. Yazdanpannah , A. Mirjalili

We discuss perturbative evolution of the polarized structure function g_1 in the (x,Q^2) plane, with special regard to the small-x region. We determine g_1 in terms of polarized quark and gluon distributions using coefficient functions to…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. D. Ball , S. Forte , G. Ridolfi

We consider a gedanken experiment of the scattering of a current off a large nucleus to study the gluon saturation at the small-x limit and compute the Sudakov factor of this process through a one-loop calculation. The differential cross…

High Energy Physics - Phenomenology · Physics 2014-04-30 Ya-ping Xie , Xurong Chen

We discuss the constraints on quark and gluon energy-momentum tensors in QCD that follow from the requirement of Renormalisation-Group invariance of the traces of these operators. Our study covers the most general form of the latter traces,…

High Energy Physics - Phenomenology · Physics 2023-11-08 Taushif Ahmed , Long Chen , Michał Czakon

In this article, we study the $S-$wave charmonium production at the small transverse momenta in the transverse momentum dependent (TMD) parton model (PM), as it is formulated in the soft gluon resummation (SGR) approach , using the…

High Energy Physics - Phenomenology · Physics 2025-09-15 Vladimir Saleev , Kirill Shilyaev

We present the general expressions for the resummation, up to next-to-leading logarithmic accuracy, of Sudakov-type logarithms in processes with an arbirtrary number of hard-scattering partons. These results document the formulae used by…

High Energy Physics - Phenomenology · Physics 2010-04-05 R. Bonciani , S. Catani , M. L. Mangano , P. Nason

We compute the complete set of the leading-twist gluon and sea-quark generalized transverse momentum distributions (GTMDs) in the small-$x$, or eikonal, approximation at vanishing skewness $\xi = 0$. All the gluon GTMDs become expressed in…

High Energy Physics - Phenomenology · Physics 2026-03-09 Sanjin Benić , Yoshikazu Hagiwara , Boris Šarić , Eric Andreas Vivoda

We derive and solve renormalization group equations that allow for the resummation of subleading power rapidity logarithms. Our equations involve operator mixing into a new class of operators, which we term the "rapidity identity…

High Energy Physics - Phenomenology · Physics 2020-07-15 Ian Moult , Gherardo Vita , Kai Yan

We discuss central-forward dijet production at LHC energies within the framework of high energy factorization. In our study, we profit from the recent progress on consistent merging of Sudakov resummation with small-$x$ effects, which…

High Energy Physics - Phenomenology · Physics 2021-02-03 A. van Hameren , P. Kotko , K. Kutak , S. Sapeta

Currently, the gluon distribution function is mainly constrained by jet data. Yet, its high-x behaviour is largely unknown. This kinematic region is important, for instance, for the understanding of the production of a massive state at…

High Energy Physics - Phenomenology · Physics 2013-10-01 Nobuo Sato

It has been shown previously that the transverse momentum dependent (TMD) factorization of heavy quarkonium production requires a TMD shape function. Its perturbative tail can be extracted by matching the cross sections valid at low and…

High Energy Physics - Phenomenology · Physics 2023-09-07 Daniël Boer , Jelle Bor , Luca Maxia , Cristian Pisano , Feng Yuan

We analyze transverse momentum ($Q_T$) resummation of a colorless final state, e.g. Higgs production in gluon fusion or the production of a lepton pair via the Drell-Yan mechanism, in the limit where the invariant mass of the final state is…

High Energy Physics - Phenomenology · Physics 2020-12-14 Simone Marzani

In this work we apply Thompson's method (of the dimensions) to study the quantum electrodynamics (QED). This method can be considered as a simple and alternative way to the renormalisation group (R.G) approach and when applied to QED…

High Energy Physics - Theory · Physics 2007-05-23 Claudio Nassif , P. R. Silva

We analytically solve the full next-to-leading logarithmic Balitsky-Kovchegov equation in the saturation regime, which includes corrections from quark and gluon loops, and large double transverse logarithms. The analytic result for the…

High Energy Physics - Phenomenology · Physics 2017-06-28 Wenchang Xiang , Shaohong Cai , Daicui Zhou

We compute the gluon transverse-momentum-dependent fragmentation function (TMDFF) at next-to-leading order (NLO) into heavy quarkonium in the color-octet $^3S_1^{[8]}$ channel, based on the NRQCD factorization approach. The spurious…

High Energy Physics - Phenomenology · Physics 2024-01-02 Miguel G. Echevarria , Samuel F. Romera , Ignazio Scimemi
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